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On the Cauchy problem for a two-component b-family system

Article ID Journal Published Year Pages File Type
839690 Nonlinear Analysis: Theory, Methods & Applications 2014 14 Pages PDF
Abstract

This paper is concerned with the Cauchy problem for a two-component b-family system. We prove that the solution map of the Cauchy problem of the b-family system is not uniformly continuous in Hs(R)×Hs−1(R)Hs(R)×Hs−1(R), s>5/2s>5/2.

Keywords
35B3035G25Energy estimatesInitial value problem
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
On the Cauchy problem for a two-component b-family system
Authors
Guangying Lv, Xiaohuan Wang,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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